Question

0 = x2 + 5x + 6
0 = x2 + 4x + 4
Part 2:
Using complete sentences, answer the following questions about the two quadratic equations above.
Do the two quadratic equations have anything in common? If so, what?
What makes y = x2 + 4x + 4 different from y = x2 + 5x + 6?

Answer 1

Yes, the two equations have one root in common, i.e. x+2.
The difference is that while they both have two roots(because the are quadratic), the first equation has two different root, meaning it crosses the x-axis at two different points, the second touches the x-axis only at one point, meaning it has two roots, but it is a repeated root.

Answer 2

see part 1 solution